GCD of 643, 380, 990, 698 Calculator

Given Input numbers are 643, 380, 990, 698

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 643, 380, 990, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 380, 990, 698 is 1.

Therefore, GCD of numbers 643, 380, 990, 698 is 1

Given Input Data is 643, 380, 990, 698

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 643 is 643

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 698 is 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(643, 380) = 244340

GCD(643, 380) = ( 643 x 380 ) / 244340

GCD(643, 380) = 244340 / 244340

GCD(643, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 643, 380, 990, 698 is 1

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1. What is the GCD of 643, 380, 990, 698?

GCD of 643, 380, 990, 698 is 1

2. Where do I get the detailed procedure to find GCD of 643, 380, 990, 698?

You can find a detailed procedure to find GCD of 643, 380, 990, 698 on our page.

3. How to find GCD of 643, 380, 990, 698 on a calculator?

You can find the GCD of 643, 380, 990, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.